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Seeking consistency with paired comparisons: a systems approach

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  • Donald G. Saari

    (University of California)

Abstract

It is well known that decision methods based on pairwise rankings can suffer from a wide range of difficulties. These problems are addressed here by treating the methods as systems, where each pair is looked upon as a subsystem with an assigned task. In this manner, the source of several difficulties (including Arrow’s Theorem) is equated with the standard concern that the “whole need not be the sum of its parts.” These problems arise because the objectives assigned to subsystems need not be compatible with that of the system. Knowing what causes the difficulties leads to resolutions.

Suggested Citation

  • Donald G. Saari, 2021. "Seeking consistency with paired comparisons: a systems approach," Theory and Decision, Springer, vol. 91(3), pages 377-402, October.
    • Handle: RePEc:kap:theord:v:91:y:2021:i:3:d:10.1007_s11238-021-09805-4
    DOI: 10.1007/s11238-021-09805-4
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    References listed on IDEAS

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    1. Golany, B. & Kress, M., 1993. "A multicriteria evaluation of methods for obtaining weights from ratio-scale matrices," European Journal of Operational Research, Elsevier, vol. 69(2), pages 210-220, September.
    2. Donald G. Saari, 2014. "A New Way to Analyze Paired Comparison Rules," Mathematics of Operations Research, INFORMS, vol. 39(3), pages 647-655, August.
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    Cited by:

    1. Donald G. Saari, 2024. "Closed paths in graphs vs. voting theory," Theory and Decision, Springer, vol. 97(3), pages 455-483, November.
    2. Donald G. Saari, 2023. "Selecting a voting method: the case for the Borda count," Constitutional Political Economy, Springer, vol. 34(3), pages 357-366, September.

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